Rationalize the Denominator $$\frac { 5 - \sqrt { 2 } } { 5 + \sqrt { 2 } }$$

question 213

Multiple Choice

Rationalize the denominator. Assume that all variables represent nonnegative numbers and that the denominator is not
zero.
- $$\frac { 5 - \sqrt { 2 } } { 5 + \sqrt { 2 } }$$

• A) \(\frac { 23 - 10 \sqrt { 2 } } { 27 }\)
• B) \(- 1\)
• C) \(\frac { 27 - 10 \sqrt { 2 } } { 23 }\)
• D) \(\frac { 27 + 10 \sqrt { 2 } } { 23 }\)

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Definitions:

Price Level

A measure of the average prices of goods and services in the economy at a given time, often used to assess inflation rates.

Stock Variable

A quantity measured at a specific point in time, representing a snapshot of a certain economic variable such as capital or debt.

Periodic Variable

A variable that changes at regular intervals over time in a predictable pattern.

Dummy Variable

A numerical variable used in regression analysis to represent subgroups of the sample in your study.